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Kitaev spin liquids (KSLs) contain both itinerant Majorana fermions andlocalized $Z_2$ flux excitations. The mobile fermions transport energy, whilethe fluxes hinder heat flow. By controlling the flux configuration, one canseparate a KSL into different domains via $Z_2$ flux walls. We show that at lowtemperatures, the wall significantly suppresses the Majorana-mediatedRuderman-Kittel-Kasuya-Yosida (RKKY) interaction and blocks the heat transferbetween domains.

Controlling the RKKY interaction and heat transport in a Kitaev spin liquid via $Z_2$ flux walls